Answer:
m <E = 134
Step-by-step explanation:
Triangle DEF looks like an isosceles triangle to the base angles are the same measure.
6x+11 = 10x+3
Subtract 11 from both sides
6x = 10x-8
Subtract 10x from both sides
-4x = -8
Divide -4 from both sides
x = 2
Substitute 2 into both equations to make sure it works
6 (2) + 11
12+11
23
10 (2) +3
20+3
23
Both angles equal 23 degrees.
Now subtract both angles from the total angle measure of 180.
180-23-23=134
Answer:
1.x^2-5x
2.2x^2+15x+18
3. x^2+20x+18
Step-by-step explanation:
1. x(x-5) x*x-5*x = x^2-5x
2. (x+6)(2x+3) x*2x+x*3+6*2x+6*3= 2x^2+15x+18
3.(2x^2+15x+18)-(x^2-5x)=x^2+20x+18
Y=1/2x-2
To find the point where the two lines intersect they are set equal to each other so that x can be found:
2x-5=-x+1
2x+x=1+5
3x=6
x=2
If x is known, x can be plugged into one of the two equations to find y.
y=-x+1=-2+1=-1
This means the point where they intersect is (2,-1).
We also know that the slope has to be 1/2 because the slope has to match the slope of the line it is parallel to.
Putting this into point slope form, we get:
(y-(-1))=1/2(x-2)
Which can be simplified into slope intercept form:
y+1=1/2x-1
y=1/2x-1-1
y=1/2x-2
If it is fractions then the answer is -7/15. Think of as 8/15 - 1/15 except the answer is a negative number
For this case we have two options:
Option A:
Tomato juice, 48 oz. can for $ 2.49.
The unit price is:
(2.49) / (48) = 0.05 cents per oz.
Option B:
Tomato juice, 6-pack of 10 oz. cans for $ 3.99.
The unit price is:
(3.99) / (6 * 10) = 0.07 cents per oz.
Answer:
The best buy would be:
Tomato juice, 48 oz. can for $ 2.49.
